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Finding the Fourth Proportional to 285,271.88, 393,687.49 and 157,947.47

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Solution

The fourth proportional to 285,271.88, 393,687.49 and 157,947.47 is: 217,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,271.88 : 393,687.49 = 157,947.47 : x
  2. Step 2: Convert to fraction form
    285,271.88/393,687.49 = 157,947.47/x
  3. Step 3: Cross multiply
    285,271.88x = 393,687.49 × 157,947.47
  4. Step 4: Simplify right side
    285,271.88x = 62,181,942,425.32
  5. Step 5: Solve for x
    x = 62,181,942,425.32/285,271.88
  6. Step 6: Final answer
    x = 217,974.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.